An efficient technique for inversion of reservoir properties using iteration method

Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition

Volumn , Issue , 1996, Pages 193-208

  Chu, Lifu ^a   Komara, M ^a   Schatzinger, R A ^b  

^a UNIVERSITY OF TULSA   (United States)

^b BDM Oklahoma   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; COVARIANCE MATRIX; GRADIENT METHODS; OIL WELLS; COMPUTATIONAL COMPLEXITY; INVERSE PROBLEMS; ITERATIVE METHODS; MECHANICAL PERMEABILITY; PARAMETER ESTIMATION; PETROLOGY; POROSITY; PROBLEM SOLVING;

COMPLEXITY ANALYSIS; COMPUTATIONAL COSTS; EFFICIENT SOLUTION PROCEDURE; EXPLICIT CONSTRUCTIONS; MAXIMUM A POSTERIORI ESTIMATES; OBJECTIVE FUNCTIONS; RESERVOIR DESCRIPTION; SENSITIVITY COEFFICIENT; INVERSE SOLUTION THEORY;

INVERSE PROBLEMS; PETROLEUM RESERVOIR EVALUATION;

EID: 0029728443     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/36512-ms     Document Type: Conference Paper

References (21)

1. Tarantola, A.: Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation, Elsevier Science Publishers, Amsterdam, 1987.
2. Tarantola, A., "Inversion of Seismic Reflection Data in the Acoustic Approximation, " Geophysics, (1984) Vol. 49, 1259.
3. Tarantola, A., Valette, B., : "Inverse Problem = Quest for Information, "/Geophys., (1982) Vol. 50, 159.
4. Tarantola, A., Valette, B., : "Generalized Nonlinear Inverse Problems Solved Using the Least-Squares Criterion, " Rev. geophys. Space Phys., (\9S2) Vol. 20, No. 2, 219.
5. Oliver, D.S., : "Incorporation of Transient Pressure Data into Reservoir Characterization, " In Situ(\994) Vol. 18, 243.
6. Carter, R.D., Kemp, L.F., Jr., Pierce, A.C., Williams, D.L., : "Performance Matching with Constraints, " Soc. Pet. Eng./(April, 1974) 187.
7. Chu, L., Reynolds, A.C., Oliver, D.S., : "Computation of Sensitivity Coefficients for Conditioning the Permeability Field to Well-Test Pressure Data, " In Si7u(1995) Vol 19, No 2, 179.
8. Chu, L., Reynolds, A.C., Oliver, D.S., : "Reservoir Description from Static and Well-Test Pressure Data using Efficient Gradient Methods, " paper SPE 29999 presented at the 1995 SPE International Meeting on Petroleum Engineering, Beijing, Nov. 14-17.
9. Jahns, H.O., : "A Rapid Method for Obtaining a Two-Dimensional Reservoir Description from Well Pressure Response Data, " Sco. Pet. Eng./(Dec, 1966) Vol. 6, 315.
10. Yeh. W., : "Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem, " Water Resources Res. (1986) Vol. 22, 95.
11. Dietrich, C.R., Newsam, G.N., : "Efficient Generation of Conditional Simulations, " Mathematical Geology (1995) Vol. 27, No. 2, 207.
12. Xu, W., Tran, T.T., Srivastava, and Journel, A.G., : "Integrating Seismic Data in Reservoir Modeling: The Collocated Cokriging Approach, " paper SPE 24742 presented at the 1992 SPE Annual Technical Conference and Exhibition, Washington D.C., Oct. 4-7.
13. Peaceman, D.W., : "Interpretation of Well-Block Pressures in Numerical Reservoir Simulation with Non-Square Grid Blocks and Anisotropic Permeability, " Sco. Pet. Eng./.(June 1983) Vol. 13, 531.
14. Hestenes, M.R., Stiefel, E, : "Method of Conjugate Gradients for Solving Linear Systems, "/Res. Nat. Bur. Stand,. (1952) Vol. 49, 409.
15. Saad, Y., Schultz, M.H, : ".GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SUM J. Sci. Stat. Comput., (1989) Vol. 10, 36.
16. van der Vorst, H.A, : "Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for The Solution of Nonsymmetric Linear Systems, S/AM J. Sci. Stat. Comput., (1992) Vol. 13, 631.
17. Axelsson, O., : " Incomplete Block Factorizations Preconditioning Methods, : The Ultimate Answer, " J Comput. Appl. Math., (1985) Vol. 12&13, 3.
18. Axelsson, O., Polman, B., : "On Approximate Factorization Methods for Block-Matrices Suitable for Vector and Parallel Processors, " Lin. Alg. Appl., (1986) Vol. 77, 3.
19. Dryja, M., Widlund, O.B., :An Additive Variant of the Schwarz Alternating Method for the Case of Many Subregions, Research Report 339, Dept. Computer Science, Courant Institute, NY, 1987.
20. Bramble, J., Pasciak, J., Xu, j., : "Parallel Multilevel Preconditioned, " Math. Comput., (1990) Vol. 55, 1.
21. Axelsson, O., : "A Class of Iterative Methods for Finite Element Equations, " Comput. Math. Appl. Mech. Eng., (1976) Vol. 9, 123.